{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "046d0c5d",
   "metadata": {},
   "source": [
    "# Parallelized Leaky Neuron as a Smooth Membrane Potential Filter\n",
    "\n",
    "This notebook demonstrates a simple setup for using a parallelized leaky neuron (implemented via a 1D convolutional kernel) as a *smooth membrane potential filter*.  \n",
    "We show how the filter transforms different 1D temporal signals — an impulse and a noisy signal — and how stacking two filters produces a smoother, higher-order temporal response.  \n",
    "\n",
    "This structure mimics the temporal smoothing or synaptic delay behavior that can be useful in closed-loop EEG-based control systems\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd6555f3",
   "metadata": {},
   "source": [
    "### Setup and Layer Creation\n",
    "\n",
    "In this section, we initialize the **parallelized leaky neuron** layer that serves as our filter.  \n",
    "The neuron behaves like a first-order low-pass system: each timestep’s membrane potential depends on a decayed version of its past value plus the new input.  \n",
    "\n",
    "We instantiate two identical layers (`layer1`, `layer2`) so that later we can examine both a **single-filter** and a **double-filter** cascade.  \n",
    "The second stage effectively produces a smoother, higher-order membrane response.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7700b6d5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using device: cuda\n",
      "StateLeaky()\n"
     ]
    }
   ],
   "source": [
    "# --- Setup and layer creation ---\n",
    "import torch\n",
    "from snntorch._neurons.stateleaky import StateLeaky\n",
    "\n",
    "# Configuration\n",
    "TIMESTEPS = 2000\n",
    "BATCH = 1          # single sample for visualization\n",
    "CHANNELS = 1       # one channel for simplicity\n",
    "BETA = 0.9         # decay constant (controls smoothing)\n",
    "\n",
    "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
    "\n",
    "# Create the parallelized leaky neuron layers\n",
    "# IMPORTANT: set output=False to return the membrane potential (not spikes)\n",
    "layer1 = StateLeaky(beta=BETA, channels=CHANNELS, output=False).to(device)\n",
    "layer2 = StateLeaky(beta=BETA, channels=CHANNELS, output=False).to(device)\n",
    "\n",
    "print(f\"Using device: {device}\")\n",
    "print(layer1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa8113fa",
   "metadata": {},
   "source": [
    "### Generating Example Inputs\n",
    "\n",
    "To visualize the filter behavior, we’ll drive the neuron with two types of test signals:\n",
    "\n",
    "1. **Impulse input** — a single spike at *t = 0*; this reveals the neuron’s **impulse response** (its inherent smoothing kernel).  \n",
    "2. **Noisy input** — a random signal resembling EEG noise; this shows how the filter attenuates high-frequency fluctuations.  \n",
    "\n",
    "Both signals are shaped `(TIMESTEPS, BATCH, CHANNELS)` to match the layer’s expectations, and will later be passed through one and then two stacked filters.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b7c17756",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Time axis\n",
    "t = torch.arange(TIMESTEPS, device=device).float()\n",
    "\n",
    "# (1) Impulse: all zeros except one spike at t = 0\n",
    "impulse = torch.zeros(TIMESTEPS, BATCH, CHANNELS, device=device)\n",
    "impulse[0, 0, 0] = 1.0\n",
    "\n",
    "# (2) Noisy input: random Gaussian noise (can represent EEG-like fluctuations)\n",
    "noisy = torch.randn(TIMESTEPS, BATCH, CHANNELS, device=device) * 0.1\n",
    "\n",
    "# Quick visualization of both signals (on CPU for matplotlib)\n",
    "plt.figure(figsize=(10, 3))\n",
    "plt.plot(impulse[:, 0, 0].cpu(), label=\"Impulse input\")\n",
    "plt.title(\"Impulse input (δ[t])\")\n",
    "plt.xlabel(\"Timestep\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(10, 3))\n",
    "plt.plot(noisy[:, 0, 0].cpu(), label=\"Noisy input\", alpha=0.8)\n",
    "plt.title(\"Noisy input signal\")\n",
    "plt.xlabel(\"Timestep\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "726d8182",
   "metadata": {},
   "source": [
    "### Single Filter Response (Impulse Input)\n",
    "\n",
    "We’ll begin by passing the **impulse signal** through a single `StateLeaky` layer.  \n",
    "Because this neuron operates as a leaky integrator (without reset), its output should follow an **exponential decay**, similar to a first-order low-pass filter’s impulse response.\n",
    "\n",
    "Plotting the input and output over time reveals the inherent smoothing behavior of the filter — this corresponds to the membrane potential’s natural relaxation after an instantaneous input.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6ce4e2ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA04AAAGJCAYAAAC90mOkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAABxjklEQVR4nO3dd3hTZfsH8O9JmqQtndBFS6HsPYtg2aO0gIKICAI/lggyBfuq2Feh4AJRhoIMFcSBiqKiryJQKpVV2WXIrpRlJ9CWzqTJ8/ujJBDSFWg4of1+rosrzTnPObnPndOQu89zniMJIQSIiIiIiIioRAq5AyAiIiIiIrJ3LJyIiIiIiIjKwMKJiIiIiIioDCyciIiIiIiIysDCiYiIiIiIqAwsnIiIiIiIiMrAwomIiIiIiKgMLJyIiIiIiIjKwMKJiIiIiIioDCyciOieBQUFYezYsTZ9jdjYWEiShNjYWJu+jq0FBQXh8ccfl+31i8vj2LFjERQUJFtMRLbyID6biKjqYeFERBaOHz+OIUOGoE6dOnB0dERAQAD69OmDZcuWyR3afUtMTIQkSXj//fflDqVCzZ07F5IkFftv1apV5dpHbm4u5s6d+0CLVOP7YfynUChQvXp19OvXD3FxcQ8sjsrmnXfewaZNmyp8v5IkYdq0aRW+38rA3nLz9ddfY+nSpXKHQVSpOMgdABHZl71796Jnz56oXbs2JkyYAD8/P1y+fBl//fUXPvjgA0yfPt3U9syZM1Ao+PcXe7Jy5Uq4uLiYLevYsSPq16+PvLw8qNXqErfNzc3FvHnzAAA9evSwZZgWhg8fjv79+0Ov1+Ps2bNYsWIFevbsiQMHDqBly5YPNJbK4J133sGQIUMwaNAguUMhmXz99dc4ceIEZs6cKXcoRJUGCyciMvP222/D3d0dBw4cgIeHh9m61NRUs+cajeYBRkblMWTIEHh5eRW7ztHR8QFHUyQnJwfVqlUrtU27du3wf//3f6bnXbt2Rb9+/bBy5UqsWLHC1iESERGViX8qJiIzCQkJaN68uUXRBAA+Pj5mz+++jmDdunWQJAl79uxBREQEvL29Ua1aNTz55JNIS0sz29ZgMGDu3Lnw9/eHs7MzevbsiZMnT5b72oR9+/ahb9++cHd3h7OzM7p37449e/bcyyEXq6CgAFFRUWjQoAE0Gg0CAwPxyiuvoKCgwKzdZ599hl69esHHxwcajQbNmjXDypUry/Uan3/+ORwcHPDyyy8jKioKKpXKIk8AMHHiRHh4eCA/P/+ej6esa8USExPh7e0NAJg3b55p6NzcuXNNbU6fPo0hQ4agevXqcHR0RPv27fHLL7+Y7cd4Dvz555+YMmUKfHx8UKtWLavj7dq1K4Ci8/FOGRkZmDlzJgIDA6HRaNCgQQO8++67MBgMZu2+/fZbBAcHw9XVFW5ubmjZsiU++OADizh37tyJ559/HjVq1ICbmxtGjx6NGzduWMSzYsUKNG/eHBqNBv7+/pg6dSoyMjLM2vTo0QMtWrTAyZMn0bNnTzg7OyMgIAALFy602N+yZcvQvHlzODs7w9PTE+3bt8fXX39t1ubq1at49tln4evrC41Gg+bNm2Pt2rVl5k6SJOTk5ODzzz83vY93/k4dOXIE/fr1g5ubG1xcXNC7d2/89ddfZe63OMbz6rvvvsO8efMQEBAAV1dXDBkyBJmZmSgoKMDMmTPh4+MDFxcXjBs3zuJ3yDjEbf369WjcuDEcHR0RHByMnTt3mrUr6Zo84zDV0uh0OsybNw8NGzaEo6MjatSogS5duiA6OtqsXXnO8XvJzdtvv41atWrB0dERvXv3xvnz583aGs+dQ4cOoVOnTnByckLdunUthtkaz9vExMRiX8v4+92jRw/89ttvuHjxoukc4PWMRPePPU5EZKZOnTqIi4vDiRMn0KJFi3vax/Tp0+Hp6YmoqCgkJiZi6dKlmDZtGjZs2GBqExkZiYULF2LAgAEIDw/H0aNHER4eXq7i4I8//kC/fv0QHByMqKgoKBQKUwGza9cudOjQ4Z7iNjIYDBg4cCB2796NiRMnomnTpjh+/DiWLFmCs2fPml07snLlSjRv3hwDBw6Eg4MD/ve//2HKlCkwGAyYOnVqia/x8ccfY9KkSfjvf/+Lt956C+fPn8cbb7yBDRs2mF0nodVqsXHjRjz11FPl6jG6fv262XOlUglPT88yt/P29sbKlSsxefJkPPnkkxg8eDAAoFWrVgCAv//+G507d0ZAQABeffVVVKtWDd999x0GDRqEH374AU8++aTZ/qZMmQJvb2/MmTMHOTk5Zb7+3YxfDO+MPTc3F927d8fVq1fx/PPPo3bt2ti7dy8iIyORlJRkup4jOjoaw4cPR+/evfHuu+8CAE6dOoU9e/ZgxowZZq8zbdo0eHh4YO7cuThz5gxWrlyJixcvmr6IAkVfzOfNm4fQ0FBMnjzZ1O7AgQPYs2cPVCqVaX83btxA3759MXjwYAwdOhQbN27ErFmz0LJlS/Tr1w8A8Mknn+CFF17AkCFDMGPGDOTn5+PYsWPYt28fRowYAQBISUnBo48+aioqvL298fvvv2P8+PHIysoqdfjVl19+ieeeew4dOnTAxIkTAQD169cHUPQ+du3aFW5ubnjllVegUqmwevVq9OjRA3/++Sc6duxo9XsFAPPnz4eTkxNeffVVnD9/HsuWLYNKpYJCocCNGzcwd+5c/PXXX1i3bh3q1q2LOXPmmG3/559/YsOGDXjhhReg0WiwYsUK9O3bF/v377/nz6E7zZ07F/PnzzflJSsrCwcPHsThw4fRp08fU26sOcfLa8GCBVAoFHjppZeQmZmJhQsXYuTIkdi3b59Zuxs3bqB///4YOnQohg8fju+++w6TJ0+GWq3Gs88+a9Vrvvbaa8jMzMSVK1ewZMkSALAYwktE90AQEd1h27ZtQqlUCqVSKUJCQsQrr7witm7dKrRarUXbOnXqiDFjxpief/bZZwKACA0NFQaDwbT8xRdfFEqlUmRkZAghhEhOThYODg5i0KBBZvubO3euAGC2zx07dggAYseOHUIIIQwGg2jYsKEIDw83e43c3FxRt25d0adPn1KP78KFCwKAeO+990ps8+WXXwqFQiF27dpltnzVqlUCgNizZ4/Z694tPDxc1KtXz2xZnTp1xGOPPSaEEOKDDz4QkiSJN99806xNSEiI6Nixo9myH3/80ez4SxIVFSUAWPyrU6eOEMIyj0IIMWbMGNN6IYRIS0sTAERUVJTF/nv37i1atmwp8vPzTcsMBoPo1KmTaNiwoWmZ8Rzo0qWLKCwsLDVmIW6/H/PmzRNpaWkiOTlZ7Nq1SzzyyCMCgPj+++9Nbd98801RrVo1cfbsWbN9vPrqq0KpVIpLly4JIYSYMWOGcHNzK/X1jXEGBwebndsLFy4UAMTPP/8shBAiNTVVqNVqERYWJvR6vand8uXLBQCxdu1a07Lu3bsLAOKLL74wLSsoKBB+fn7iqaeeMi174oknRPPmzUvNy/jx40XNmjVFenq62fJnnnlGuLu7F3ve3alatWpmv0dGgwYNEmq1WiQkJJiW/fvvv8LV1VV069at1H0KIQQAMXXqVNNz43nVokULszwOHz5cSJIk+vXrZ7Z9SEiI2Tln3CcAcfDgQdOyixcvCkdHR/Hkk0+alt19vhoZz/073f3Z1Lp1a9PvX0nKe46XpKTcNG3aVBQUFJiWf/DBBwKAOH78uGmZ8dxZtGiRaVlBQYFo06aN8PHxMeXWeN5euHDB7LWL+/1+7LHHis0XEd07DtUjIjN9+vRBXFwcBg4ciKNHj2LhwoUIDw9HQEBAuYesTJw40WzoTNeuXaHX63Hx4kUAQExMDAoLCzFlyhSz7e6ceKIk8fHxOHfuHEaMGIFr164hPT0d6enpyMnJQe/evbFz506LYVvW+v7779G0aVM0adLEtP/09HT06tULALBjxw5TWycnJ9PPmZmZSE9PR/fu3fHPP/8gMzPTYt8LFy7EjBkz8O677+L11183Wzd69Gjs27fPbHja+vXrERgYiO7du5cr9h9++AHR0dGmf+vXr7fq2Itz/fp1/PHHHxg6dChu3rxpyse1a9cQHh6Oc+fO4erVq2bbTJgwAUqlstyvERUVBW9vb/j5+aFr1644deoUFi1ahCFDhpjafP/99+jatSs8PT3N3pfQ0FDo9XrT0C4PDw/k5ORYDMMqzsSJE816jCZPngwHBwds3rwZALB9+3ZotVrMnDnTbCKUCRMmwM3NDb/99pvZ/lxcXMyu1VKr1ejQoQP++ecf0zIPDw9cuXIFBw4cKDYmIQR++OEHDBgwAEIIs2MNDw9HZmYmDh8+XOax3U2v12Pbtm0YNGgQ6tWrZ1pes2ZNjBgxArt370ZWVpbV+wWKzt0789ixY0cIISx6Sjp27IjLly+jsLDQbHlISAiCg4NNz2vXro0nnngCW7duhV6vv6eY7uTh4YG///4b586dK3b9vZzj5TVu3DizSVmMw1DvPCcAwMHBAc8//7zpuVqtxvPPP4/U1FQcOnTonl6biCoWh+oRkYVHHnkEP/74I7RaLY4ePYqffvoJS5YswZAhQxAfH49mzZqVun3t2rXNnhuHWxmvHTEWUA0aNDBrV7169TKHlRm/+IwZM6bENpmZmeUanlbaa5w6dcp0zc/d7pwkY8+ePYiKikJcXBxyc3Mt4nB3dzc9//PPP/Hbb79h1qxZePnlly32O2zYMMycORPr16/HnDlzkJmZiV9//RUvvvhimddwGHXr1q3EySHu1fnz5yGEwOzZszF79uxi26SmpiIgIMD0vG7dula9xsSJE/H0008jPz8ff/zxBz788EOLL8znzp3DsWPHynxfpkyZgu+++w79+vVDQEAAwsLCMHToUPTt29dim4YNG5o9d3FxQc2aNU1DBY3nauPGjc3aqdVq1KtXz7TeqFatWhbvlaenJ44dO2Z6PmvWLGzfvh0dOnRAgwYNEBYWhhEjRqBz584AgLS0NGRkZODjjz/Gxx9/XOqxWiMtLQ25ubkWxwIATZs2hcFgwOXLl9G8eXOr933377zxvA8MDLRYbjAYkJmZiRo1apiW3/0+AECjRo2Qm5uLtLQ0+Pn5WR3Tnd544w088cQTaNSoEVq0aIG+ffti1KhRpqGo93KOl1dZn4dG/v7+FpOoNGrUCEDR0NVHH33U6tcmoorFwomISqRWq/HII4/gkUceQaNGjTBu3Dh8//33iIqKKnW7knoahBD3HZOxN+m9995DmzZtim1zv2P5DQYDWrZsicWLFxe73vhlMCEhAb1790aTJk2wePFiBAYGQq1WY/PmzViyZIlFz1fz5s2RkZGBL7/8Es8//7xFceHp6YnHH3/cVDht3LgRBQUFZj0YcjAex0svvYTw8PBi29xdBN/ZE1ceDRs2RGhoKADg8ccfh1KpxKuvvoqePXuiffv2pjj69OmDV155pdh9GL9k+vj4ID4+Hlu3bsXvv/+O33//HZ999hlGjx6Nzz//3Kq4rFWec79p06Y4c+YMfv31V2zZsgU//PADVqxYgTlz5mDevHmmfP/f//1fiX8gMH7htxclHXdFfhaU9MeD8vRIdevWDQkJCfj555+xbds2fPrpp1iyZAlWrVqF55577p7O8fKylxwQ0f1j4URE5WL88pqUlHTf+6pTpw6Aor/y3lk8XLt2rdgZze5kvMjdzc3N9EW7otWvXx9Hjx5F7969S+3p+d///oeCggL88ssvZn9VvnMo3528vLywceNGdOnSBb1798bu3bvh7+9v1mb06NF44okncODAAaxfvx5t27a9px6Ae1HSsRqHdalUKpvl/G6vvfYaPvnkE7z++uvYsmULgKL3JTs7u1wxqNVqDBgwAAMGDIDBYMCUKVOwevVqzJ492+wL8Llz59CzZ0/T8+zsbCQlJaF///4Abp+rZ86cMRveptVqceHChXvOR7Vq1TBs2DAMGzYMWq0WgwcPxttvv43IyEh4e3vD1dUVer3+nvdf3Hvp7e0NZ2dnnDlzxmLd6dOnoVAoLHqIHpTihtCdPXsWzs7Oph5GT09Pi5kMAVj0+pWkevXqGDduHMaNG4fs7Gx069YNc+fOxXPPPSfLOX63f//912Lq/rNnzwKAaUY8Y2/V3XkoLgfl7aUmovLjNU5EZGbHjh3F/iXUeM1HccN8rNW7d284ODhYTNu9fPnyMrcNDg5G/fr18f777yM7O9tifXHTeVtr6NChuHr1Kj755BOLdXl5eaZZ4ox/Sb4zX5mZmfjss89K3HetWrWwfft25OXloU+fPrh27ZrZ+n79+sHLywvvvvsu/vzzzwfa2+Ts7AzA8kuZj48PevTogdWrVxdbOFdEzu/m4eGB559/Hlu3bkV8fDyAovclLi4OW7dutWifkZFhum7m7pwqFApTD83dU2F//PHH0Ol0pucrV65EYWGhaQa80NBQqNVqfPjhh2bv85o1a5CZmYnHHnvM6mO7Oz61Wo1mzZpBCAGdTgelUomnnnoKP/zwA06cOGGxfXnyXa1aNYv3UalUIiwsDD///LPZdNYpKSn4+uuv0aVLF7i5uVl9PBUhLi7O7Lqty5cv4+eff0ZYWJjp96x+/frIzMw0G/aYlJSEn376qcz9351zFxcXNGjQwHQ+yHGO362wsBCrV682PddqtVi9ejW8vb1N138Z/3B051Tter2+2CGd1apVK/Y6SyK6d+xxIiIz06dPR25uLp588kk0adIEWq0We/fuxYYNGxAUFIRx48bd92v4+vpixowZWLRoEQYOHIi+ffvi6NGj+P333+Hl5VXqX0oVCgU+/fRT9OvXD82bN8e4ceMQEBCAq1evYseOHXBzc8P//ve/MmOIiYkpdurzQYMGYdSoUfjuu+8wadIk7NixA507d4Zer8fp06fx3XffYevWrWjfvj3CwsJMPRvPP/88srOz8cknn8DHx6fUnrkGDRpg27Zt6NGjB8LDw/HHH3+YvrCqVCo888wzWL58OZRKJYYPH16OjFYMJycnNGvWDBs2bECjRo1QvXp1tGjRAi1atMBHH32ELl26oGXLlpgwYQLq1auHlJQUxMXF4cqVKzh69GiFxzNjxgwsXboUCxYswLfffouXX34Zv/zyCx5//HGMHTsWwcHByMnJwfHjx7Fx40YkJibCy8sLzz33HK5fv45evXqhVq1auHjxIpYtW4Y2bdqgadOmZq+h1WrRu3dvDB06FGfOnMGKFSvQpUsXDBw4EEBRL01kZCTmzZuHvn37YuDAgaZ2jzzyyD0VtmFhYfDz80Pnzp3h6+uLU6dOYfny5Xjsscfg6uoKoGgK6x07dqBjx46YMGECmjVrhuvXr+Pw4cPYvn27xbTzdwsODsb27duxePFi+Pv7o27duujYsSPeeustREdHo0uXLpgyZQocHBywevVqFBQUFHu/qQelRYsWCA8PN5uOHCi6p5jRM888g1mzZuHJJ5/ECy+8gNzcXKxcuRKNGjUqc7KMZs2aoUePHggODkb16tVx8OBBbNy40WzqfznO8Tv5+/vj3XffRWJiIho1aoQNGzYgPj4eH3/8sWnijebNm+PRRx9FZGQkrl+/jurVq+Pbb7+1mGwDKDoHNmzYgIiICDzyyCNwcXHBgAEDbHoMRJWeLHP5EZHd+v3338Wzzz4rmjRpIlxcXIRarRYNGjQQ06dPFykpKWZtS5qO/MCBA2btipsqt7CwUMyePVv4+fkJJycn0atXL3Hq1ClRo0YNMWnSpFK3FUKII0eOiMGDB4saNWoIjUYj6tSpI4YOHSpiYmJKPT7j9Ncl/fvyyy+FEEJotVrx7rvviubNmwuNRiM8PT1FcHCwmDdvnsjMzDTt75dffhGtWrUSjo6OIigoSLz77rti7dq1FlMG3zkdudG+fftM00DfOb30/v37BQARFhZW6rHcyTglc1paWrHryzMduRBC7N27VwQHBwu1Wm0xNXlCQoIYPXq08PPzEyqVSgQEBIjHH39cbNy40dSmpHOgJGVNDz927FihVCrF+fPnhRBC3Lx5U0RGRooGDRoItVotvLy8RKdOncT7779vmrJ548aNIiwsTPj4+Ai1Wi1q164tnn/+eZGUlGQR559//ikmTpwoPD09hYuLixg5cqS4du2aRRzLly8XTZo0ESqVSvj6+orJkyeLGzdumLXp3r17sdOM353n1atXi27dupnO3fr164uXX37Z7LwSQoiUlBQxdepUERgYKFQqlfDz8xO9e/cWH3/8cZl5PX36tOjWrZtwcnKymOL/8OHDIjw8XLi4uAhnZ2fRs2dPsXfv3jL3KUTJU27fOW28ECWfB8Wdp8Z9fvXVV6Jhw4ZCo9GItm3bFjsF/7Zt20SLFi2EWq0WjRs3Fl999VW5piN/6623RIcOHYSHh4dwcnISTZo0EW+//bbFbRbKc47fb26M5/xnn31mWmY8dw4ePChCQkKEo6OjqFOnjli+fLnF6yQkJIjQ0FCh0WiEr6+v+O9//yuio6Mtfr+zs7PFiBEjhIeHh9mtCYjo3klCVMDV2kREFSAjIwOenp5466238Nprr8kdjmyOHj2KNm3a4IsvvsCoUaPkDqdSWrduHcaNG4cDBw6Yrt8jeUiShKlTp5ZrqG5l1aNHD6Snpxc7NJOI7AevcSIiWeTl5VksW7p0KYCiLxFV2SeffAIXFxcMHjxY7lCIiIjoFl7jRESy2LBhA9atW4f+/fvDxcUFu3fvxjfffIOwsDDT/Wyqmv/97384efIkPv74Y0ybNs3ini5EREQkHxZORCSLVq1awcHBAQsXLkRWVpZpwoi33npL7tBkM336dKSkpKB///5mF8UTERGR/HiNExERERERURl4jRMREREREVEZWDgRERERERGVocpd42QwGPDvv//C1dW11JtsEhERERFR5SaEwM2bN+Hv7w+FovQ+pSpXOP37778IDAyUOwwiIiIiIrITly9fRq1atUptU+UKJ1dXVwBFyXFzc5M5GkCn02Hbtm0ICwuDSqWSO5xKh/m1LebXtphf22J+bYv5tS3m17aYX9uyp/xmZWUhMDDQVCOUpsoVTsbheW5ubnZTODk7O8PNzU32E6cyYn5ti/m1LebXtphf22J+bYv5tS3m17bsMb/luYSHk0MQERERERGVgYUTERERERFRGVg4ERERERERlaHKXeNEREREVFXo9XrodDq5w3jo6HQ6ODg4ID8/H3q9Xu5wKp0HnV+VSgWlUnnf+2HhRERERFQJZWdn48qVKxBCyB3KQ0cIAT8/P1y+fJn3/bSBB51fSZJQq1YtuLi43Nd+WDgRERERVTJ6vR5XrlyBs7MzvL29+eXfSgaDAdnZ2XBxcSnzpqhkvQeZXyEE0tLScOXKFTRs2PC+ep5YOBERERFVMjqdDkIIeHt7w8nJSe5wHjoGgwFarRaOjo4snGzgQefX29sbiYmJ0Ol091U4yXom7Ny5EwMGDIC/vz8kScKmTZvK3CY2Nhbt2rWDRqNBgwYNsG7dOpvHSURERPQwYk8TUcX9HshaOOXk5KB169b46KOPytX+woULeOyxx9CzZ0/Ex8dj5syZeO6557B161YbR0pERERERFWZrEP1+vXrh379+pW7/apVq1C3bl0sWrQIANC0aVPs3r0bS5YsQXh4uK3CtJ2Uk5BST8Mt76rckRARERERUSkeqmuc4uLiEBoaarYsPDwcM2fOLHGbgoICFBQUmJ5nZWUBKBr7K/f0nHl/rYPbkdXwrtEPOt14WWOprIzvsdzvdWXF/NoW82tbzK9tMb+2VVZ+jdc4GQwGGAyGBxlapWCcidCYw7v16NEDEydOxIgRIwAASqUSP/zwAwYNGvQgwyxWRcayatUqbN68Gb/88sv9B3aHsvJb0QwGA4QQxV7jZM1n1ENVOCUnJ8PX19dsma+vL7KyspCXl1fsxY/z58/HvHnzLJZv27YNzs7ONou1PNzPXUUPABn5AtHR0bLGUtkxv7bF/NoW82tbzK9tMb+2VVJ+HRwc4Ofnh+zsbGi12gcc1b2bMmUKMjMzsX79+gf6ul9//TUiIyNx8eJFs+U3b960aLt582YkJSWhf//+pj/Inz59Gh4eHqbncsvLy6uQWIYMGYK33noLW7ZsQadOnSogMnPF5dcWtFot8vLysHPnThQWFpqty83NLfd+HqrC6V5ERkYiIiLC9DwrKwuBgYEICwuDm5ubjJEBZ7/dBWQDCujRp08fqFQqWeOpjHQ6HaKjo5lfG2F+bYv5tS3m17aYX9sqK7/5+fm4fPkyXFxc4OjoKEOE90alUsHBweGBf0dzdHSEJEmm1xVC4ObNm3B1dbWYWGDt2rV49tln4eHhYVom93fKuzk5OVVYTCNGjMDatWvRt2/fCtkfUHp+bSE/Px9OTk7o1q2bxe+DNQXmQ1U4+fn5ISUlxWxZSkoK3NzcSpxqU6PRQKPRWCxXqVTyf5Ari15fAYN9xFOJMb+2xfzaFvNrW8yvbTG/tlVSfvV6PSRJgkKhMJvuOV+nL3FfCkmC2qFi2zqqrJv6WZIkU9xA0ZC4Vq1awdHREZ9++inUajUmTZqEuXPnmm2zYsUK/PLLL4iNjUXNmjWxcOFCDBkyBEDRjMw9e/bEjRs3TMVOfHw82rZtiwsXLiAxMRHjxxddMmEcxjVnzhy8+OKLZrEAQFpaGv744w988MEHZsslScJPP/2EQYMGITExEXXr1sWGDRuwbNkyHDx4EC1atMD69euRmZmJyZMn4/Tp0+jatSu++OILeHt7AwDGjh2LjIwMtG3bFsuXL0dBQQFGjBiBDz/8EGq1GgAQFBSEmTNnml2m0qZNGwwaNMgsJ8b3XavVIiIiAj/88ANu3LgBX19fTJo0CZGRkQCAjIwMvPTSS/j5559RUFCA9u3bY8mSJWjdurVpXwMHDkSfPn1QUFBQYVPbG4fn3Z1fW1EoFJAkqdjfF2s+nx6qwikkJASbN282WxYdHY2QkBCZIro/Qir65ZREyR9MRERERBVl6vrDJa5rWcsdM0MbmZ6/uCEe2sLirz9p5OeKWX2bmJ7P+uEYsvMLLdqtGfvIfURb5PPPP0dERAT27duHuLg4jB07Fp07d0afPn1MbWbPno0FCxbggw8+wJdffolnnnkGx48fR9OmTcvcf6dOnbB06VLMmTMHZ86cAQA4OzsXe+3N7t274ezsXK79RkVFYenSpahduzaeffZZjBgxAq6urvjggw/g7OyMoUOHYs6cOVi5cqVpm5iYGDg6OiI2NhaJiYkYN24catSogbfffrs8qbLw4Ycf4pdffsF3332H2rVr4/Lly7h8+bJp/dNPPw0nJyf8/vvvcHd3x+rVq9G7d2+cPXsW1atXBwC0b98ehYWF2LdvH3r06HFPcVQWshZO2dnZOH/+vOn5hQsXEB8fj+rVq6N27dqIjIzE1atX8cUXXwAAJk2ahOXLl+OVV17Bs88+iz/++APfffcdfvvtN7kO4b4YCycFeNEmERERUXFatWqFqKgoAEDDhg2xfPlyxMTEmBVOTz/9NJ577jkAwJtvvono6GgsW7YMK1asKHP/arUa7u7ukCQJfn5+AIp6RIobwnXx4kX4+vqWq5fkpZdeMs36PGPGDAwfPhwxMTHo3LkzAGD8+PEW9yNVq9VYu3YtnJ2d0bx5c7zxxht4+eWX8eabb95Tz8ylS5fQsGFDdOnSBZIkoU6dOqZ1u3fvxv79+5GammoanfX+++9j06ZN2LhxIyZOnAigqIh0d3e3uP6rKpK1cDp48CB69uxpem68FmnMmDFYt24dkpKScOnSJdP6unXr4rfffsOLL76IDz74ALVq1cKnn376cE5FDkAoitKvECyciIiIyPY+GtmuxHWKu641WTKsTbnbvvtUq/uKqzStWpnvu2bNmkhNTTVbdvfoo5CQEMTHx1d4LHl5eeW+ZuzOuI2Tm7Vs2dJs2d3H0bp1a7PJy0JCQpCdnY3Lly+bFT3lNXbsWPTp0weNGzdG37598fjjjyMsLAwAcPToUWRnZ6NGjRpm2+Tl5SEhIcFsmZOTk1WTKFRWshZOPXr0ME1HWJy7q3DjNkeOHLFhVA+OuHX/YQU4VI+IiIhsz5prjmzV1lp3X4MiSZJVU1gbe2ru/M55r9Pke3l54caNG+Vqe2fcxgkQ7l5m7VTcCoXC4rtzacfSrl07XLhwAb///ju2b9+OoUOHIjQ0FBs3bkR2djZq1qyJ2NhYi+3unPgCAK5fv266Fqsqe6iucaps/Ku7AABcHVg4EREREd2rv/76C6NHjzZ73rZtWwAwfeFPSkqCp6cnAFj0RqnVauj1ZX8fa9u2LZKTk3Hjxg3TvirS0aNHzW6x89dff8HFxQWBgYEAio4lKSnJ1D4rKwsXLlwodZ9ubm4YNmwYhg0bhiFDhqBv3764fv062rVrh+TkZDg4OCAoKKjE7RMSEpCfn2/KZ1Vm+2ksqETe7tUAAM7KknvdiIiIiKh033//PdauXYuzZ88iKioK+/fvx7Rp0wAADRo0QGBgIObOnYtz587ht99+w6JFi8y2DwoKQnZ2NmJiYpCenl7isLS2bdvCy8sLe/bssclxaLVajB8/HidPnsTmzZsRFRWFadOmmXrNevXqhS+//BK7du3C8ePHMWbMGIsbut5p8eLF+Oabb3D69GmcPXsW33//Pfz8/ODh4YHQ0FCEhIRg0KBB2LZtGxITE7F371689tprOHjwoGkfu3btQr169VC/fn2bHPPDhIWTnG5d48RZ9YiIiIju3bx58/Dtt9+iVatW+OKLL/DNN9+gWbNmAIqGxxmLh1atWuHdd9/FW2+9ZbZ9p06dMGnSJAwbNgze3t547733in0dpVKJcePG2ewGvb1790bDhg3RrVs3DBs2DAMHDjSbZjwyMhLdu3fH448/jsceewyDBg0qtaBxdXXFwoUL0b59ezzyyCNITEzE5s2bTdNzb968Gd26dcO4cePQqFEjPPPMM6YJMIy++eYbTJgwwSbH+7CRRGkXGVVCWVlZcHd3R2Zmpuw3K7sZ9xlct87EFZfW8J0Rw/tc2IBOp8PmzZvRv39/5tcGmF/bYn5ti/m1LebXtsrKb35+Pi5cuIC6des+VDfAvRd33kOpohhn1XNzc7OYzS45ORnNmzfH4cOH72nChpIY7+O0adOmCtvn/fr777/Rq1cvnD17Fu7u7hW239Lyawul/T5YUxuwx0lGp1OKuoFzdJxVj4iIiOhh4OfnhzVr1pjN/FxZJSUl4YsvvqjQoulhxskhZGS6jxOnIyciIiJ6aFRk75Y9Cw0NlTsEu8LCSUa8AS4RERHR/aksV50Udxsesi8cqicjoTAWTpwcgoiIiIjInrFwkpGQijr8OFSPiIiIiMi+sXCS0e0eJxZORERERET2jIWTjIRUlH4O1SMiIiIism8snGRU26toakeNxB4nIiIiIiJ7xsJJRoE1XAEAagULJyIiIiIie8bCSU7Ga5wEh+oRERERVVZr1qxBWFiYVdskJyejT58+qFatGjw8PGwTWAXIzc3FU089BTc3N0iShIyMDAQFBWHp0qWmNpIkYdOmTTZ5/S1btqBNmzYwGGzfEcHCSUY3tUX3HRAP4I0mIiIiehhcvnwZzz77LPz9/aFWq1GnTh3MmDED165ds2o/iYmJkCQJ8fHxNomzvMVAfn4+Zs+ejaioKKv2v2TJEiQlJSE+Ph5nz55FbGysqTCxlbfffhudOnWCs7NzuYu1zz//HLt27cLevXuRlJQEd3d3HDhwABMnTiy2fWJiIpRKJY4fP14hMfft2xcqlQrr16+vkP2VhoWTjA5dvgkAKDSwx4mIiIjon3/+Qfv27XHu3Dl88803OH/+PFatWoWYmBiEhITg+vXrcodotY0bN8LNzQ2dO3e2aruEhAQEBwejYcOG8PHxqbB4hBAoLCwsdp1Wq8XTTz+NyZMnl3t/CQkJaNq0KVq0aAE/Pz9IkgRvb284OztXVMgl0ul0AICxY8fiww8/tPnrsXCSkZCKhupJvI8TERER2ZIQgDZHnn9ClDvMqVOnQq1WY9u2bejevTtq166Nfv36Yfv27bh69Spee+01U9vienw8PDywbt06AEDdunUBAG3btoUkSejRoweAoi/ZgwYNwrx58+Dt7Q03NzdMmjQJWq3WtJ969eph5cqVZvtu06YN5s6dCwAICgoCADz55JOQJMn0vDjffvstBgwYYLbswIED6NOnD7y8vODu7o7u3bvj8OHDpvVBQUH44Ycf8MUXX0CSJIwdOxY9e/YEAHh6epqWAYDBYMD8+fNRt25dODk5oXXr1ti4caNpX8aeqt9//x3BwcHQaDTYvXt3sbHOmzcPL774Ilq2bFni8dypR48eWLRoEXbu3GmW47uH6t3J+L5069YNSqXStA0AfPrpp2jatCkcHR3RpEkTrFixwrTO2IO4YcMGdO/eHY6OjqZepgEDBuDgwYNISEgoV9z3ysGme6dSGQsnJe/jRERERLakywXe8Zfntf/7L6CuVmaz69evY+vWrXj77bfh5ORkts7Pzw8jR47Ehg0bsGLFCkiSVOb+9u/fjw4dOmD79u1o3rw51Gq1aV1MTAwcHR0RGxuLxMREjBs3DjVq1MDbb79drkM6cOAAfHx88Nlnn6Fv375QKpUltt29ezdGjRpltuzmzZsYM2YMli1bBiEEFi1ahP79++PcuXNwdXXFgQMHMHr0aLi5ueGDDz6Ak5MTBg4ciKeeegpnzpyBm5ubKUfz58/HV199hVWrVqFhw4bYuXMn/u///g/e3t7o3r276TVfffVVvP/++6hXrx48PT3LdZxl+fHHH/Hqq6/ixIkT+PHHH81yXBLj+7Jp0yY88sgjcHR0BACsX78ec+bMwfLly9G2bVscOXIEEyZMQLVq1TBmzBiz41i0aBHatm1r2rZ27drw9fXFrl27UL9+/Qo5tuKwcJKRsXDi5BBERERU1Z07dw5CCDRt2rTY9U2bNsWNGzeQlpZWrqFr3t7eAIAaNWrAz8/PbJ1arcbatWvh7OyM5s2b44033sDLL7+MN998EwpF2QOyjPv28PCw2PedMjIykJmZCX9/86K1V69eZs8//vhjeHh44M8//8Tjjz8Ob29vaDQaODk5mfZfvXp1AICPj4/p+qOCggK888472L59O0JCQgAU9Zbt3r0bq1evNiuc3njjDfTp06fMY7NG9erV4ezsDLVaXWoe7mTMXfXq1eHn52fKd1RUFBYtWoTBgwcDKOqZOnnyJFavXm1WOM2cOdPU5k7+/v64ePHi/R5SqVg4ycigKEq/gj1OREREZEsq56KeH7le2wrCiqF996p169Zm1+CEhIQgOzsbly9fRp06dSrsdfLy8gDA1DNilJKSgtdffx2xsbFITU2FXq9Hbm4uLl26ZNX+z58/j9zcXIuCSKvVom3btmbL2rdvfw9H8GDk5OQgISEB48ePx4QJE0zLCwsL4e7ubta2pONwcnJCbm6uTeNk4SQj0zVOLJyIiIjIliSpXMPl5NSgQQNIkoRTp07hySeftFh/6tQpeHp6mnosJEmyKLKMkwXcL4VCUSH7rlGjBiRJwo0bN8yWjxkzBteuXcMHH3yAOnXqQKPRICQkxOw6q/LIzs4GAPz2228ICAgwW6fRaMyeV6tmv++/8Tg++eQTdOzY0Wzd3cMgSzqO69evm84NW2HhJCMhFXVNKjlUj4iIiKq4GjVqoE+fPlixYgVefPFFs+uckpOTsX79eowePdp0fZO3tzeSkpJMbc6dO2fW42C83kavt/yedfToUeTl5Zle46+//oKLiwsCAwNN+05OTja1z8rKwoULF8z2oVKpit33ndRqNZo1a4aTJ0+a3cdpz549WLFiBfr37w+gaAr29PT0Mvd19/E0a9YMGo0Gly5dMhuWZ8+KOw5fX1/4+/vjn3/+wciRI63eZ35+PhISEix62SoaZ9WTUV2foq5HDtUjIiIiApYvX46CggKEh4dj586duHz5MrZs2YI+ffogICDAbPKGXr16Yfny5Thy5AgOHjyISZMmQaVSmdb7+PjAyckJW7ZsQUpKCjIzM03rtFotxo8fj5MnT2Lz5s2IiorCtGnTTNfb9OzZE9999x127dqF48ePY8yYMRY9H0FBQYiJiUFycrJFj9KdwsPDLWaxa9iwIb788kucOnUK+/btw8iRIy0mxLhbnTp1IEkSfv31V6SlpSE7Oxuurq546aWX8OKLL+Lzzz9HQkICDh8+jGXLluHzzz8vO+F3uXTpEuLj43Hp0iXo9XrEx8cjPj7e1CNUEYzvy/bt283el3nz5mH+/Pn48MMPcfbsWRw/fhyfffYZFi9eXOY+//rrL1OvnS2xcJJRo5pFM5oowR4nIiIiooYNG+LgwYOoV68ehg4divr162PixIno2bMn4uLiTBMkAMCiRYsQGBiIrl27YsSIEXjppZfMrltycHDAhx9+iNWrV8Pf3x9PPPGEaV3v3r3RsGFDdOvWDcOGDcPAgQNNU40DRTO3derUCQMHDsRjjz2GQYMGWczWtmjRIkRHRyMwMLDUno7x48dj8+bNZoXbmjVrcOPGDbRr1w6jRo3CCy+8UOaEFwEBAZg3bx5effVV+Pr6Ytq0aQCAN998E7Nnz8b8+fPRtGlT9O3bF7/99ptp2m9rzJkzB23btkVUVBSys7PRtm1btG3bFgcPHrR6XyVxcHDA0qVLsW7dOtSqVcv0vjz33HP49NNP8dlnn6Fly5bo3r071q1bV67j+OabbzBy5Eib3ztKEg/iCjw7kpWVBXd3d2RmZsLNzU3eYHKuAe/VAwDo/psKlVpTxgZkLZ1Oh82bN6N///5mf4WiisH82hbza1vMr20xv7ZVVn7z8/Nx4cIF1K1b12Jigqpu7NixyMjIsLgH1J0MBgOysrLg5uZWrln2yvL000+jXbt2iIyMvO99VQYVmd/09HQ0btwYBw8eLLHIKu33wZragD1OMrqpu6NmNRR/B2ciIiIieri99957cHFxkTuMSikxMRErVqy4px42a3FyCBn9ef46Hjc+YeFEREREVCkFBQVh+vTpcodRKbVv3/6BTbXOwklGQroj/QZe50RERERka+vWrZM7BHpIcaiejIzTkQNg4UREREREZMdYOMlJcWePE4fqERERUcWqYnOAERWron4PWDjJSVLAYHwLWDgRERFRBTHec0ir1cocCZH8jL8Hd9+Ly1q8xklmBiiKboAreBNcIiIiqhgODg5wdnZGWloaVCpVhUypXZUYDAZotVrk5+czdzbwIPNrMBiQlpYGZ2dnODjcX+nDwklmekkJB1HIHiciIiKqMJIkoWbNmrhw4QIuXrwodzgPHSEE8vLy4OTkBEmS5A6n0nnQ+VUoFKhdu/Z9vxYLJxnV86oGhcIB0BewcCIiIqIKpVar0bBhQw7Xuwc6nQ47d+5Et27deANnG3jQ+VWr1RXSs8XCSUYtAtwhVCpAD86qR0RERBVOoVDA0dFR7jAeOkqlEoWFhXB0dGThZAMPa345aFNuilsXqQkWTkRERERE9oqFk4zytHoYcKtw4lA9IiIiIiK7xcJJRjGnU5BZcGs2PRZORERERER2i4WTzPS3epwkXuNERERERGS3WDjJzCDxGiciIiIiInvHwklmBuNbwKF6RERERER2i4WTzPQSJ4cgIiIiIrJ3LJxkdntWPYO8gRARERERUYlYOMnMIHGoHhERERGRvWPhJKM61auhmvFu3iyciIiIiIjsluyF00cffYSgoCA4OjqiY8eO2L9/f6ntly5disaNG8PJyQmBgYF48cUXkZ+f/4CirVgta7mjhptz0RNOR05EREREZLdkLZw2bNiAiIgIREVF4fDhw2jdujXCw8ORmppabPuvv/4ar776KqKionDq1CmsWbMGGzZswH//+98HHHkFMg7V43TkRERERER2S9bCafHixZgwYQLGjRuHZs2aYdWqVXB2dsbatWuLbb9371507twZI0aMQFBQEMLCwjB8+PAye6nslbbQYLoBLofqERERERHZLwe5Xlir1eLQoUOIjIw0LVMoFAgNDUVcXFyx23Tq1AlfffUV9u/fjw4dOuCff/7B5s2bMWrUqBJfp6CgAAUFBabnWVlZAACdTgedTldBR3NvtpxIRr3UPLQAoNcVQMgcT2VkfI/lfq8rK+bXtphf22J+bYv5tS3m17aYX9uyp/xaE4NshVN6ejr0ej18fX3Nlvv6+uL06dPFbjNixAikp6ejS5cuEEKgsLAQkyZNKnWo3vz58zFv3jyL5du2bYOzs/P9HcR9ir8mwV9X1NP09/FjuPyvu6zxVGbR0dFyh1CpMb+2xfzaFvNrW8yvbTG/tsX82pY95Dc3N7fcbWUrnO5FbGws3nnnHaxYsQIdO3bE+fPnMWPGDLz55puYPXt2sdtERkYiIiLC9DwrKwuBgYEICwuDm5vbgwq9WNKJZDikOgH5QPNmTdAyuL+s8VRGOp0O0dHR6NOnD1QqldzhVDrMr20xv7bF/NoW82tbzK9tMb+2ZU/5NY5GKw/ZCicvLy8olUqkpKSYLU9JSYGfn1+x28yePRujRo3Cc889BwBo2bIlcnJyMHHiRLz22mtQKCwv2dJoNNBoNBbLVSqV7G+Ug4MD9FLRNU4OkoCSv5g2Yw/vd2XG/NoW82tbzK9tMb+2xfzaFvNrW/aQX2teX7bJIdRqNYKDgxETE2NaZjAYEBMTg5CQkGK3yc3NtSiOlMqiwkMIYbtgbcggGSeH4Kx6RERERET2StahehERERgzZgzat2+PDh06YOnSpcjJycG4ceMAAKNHj0ZAQADmz58PABgwYAAWL16Mtm3bmobqzZ49GwMGDDAVUA8bg7F25ax6RERERER2S9bCadiwYUhLS8OcOXOQnJyMNm3aYMuWLaYJIy5dumTWw/T6669DkiS8/vrruHr1Kry9vTFgwAC8/fbbch3CfZFwR48T7+NERERERGS3ZJ8cYtq0aZg2bVqx62JjY82eOzg4ICoqClFRUQ8gMtvz93CCo4szkAP2OBERERER2THZC6eqrHWgBwx+7kAKeI0TEREREZEdk21yCCoiFMbJIdjjRERERERkr1g4yUhvEJxVj4iIiIjoIcDCSUbRJ1MQe+5G0RMWTkREREREdouFk8xM05ELDtUjIiIiIrJXLJxkpudQPSIiIiIiu8fCSWYGsHAiIiIiIrJ3LJxkdrvHiUP1iIiIiIjsFQsnmQnjW8DCiYiIiIjIbrFwkpmxx0li4UREREREZLdYOMnI100DXw+XoicsnIiIiIiI7JaD3AFUZW1re0LfwBdIBGDQyR0OERERERGVgD1OclOoih717HEiIiIiIrJXLJzkprzV6cceJyIiIiIiu8XCSUbRJ1Pw+f6koid6Fk5ERERERPaKhZOMhBAoBO/jRERERERk71g4yez2DXDZ40REREREZK9YOMlMb5zYkJNDEBERERHZLRZOMpIkCXqJk0MQEREREdk7Fk4yMw7Vkzg5BBERERGR3WLhJDPTUD1ODkFEREREZLdYOMmohosatbzcip5wqB4RERERkd1ykDuAqqxdbU+00gcBJ8HJIYiIiIiI7Bh7nOSm4OQQRERERET2joWTzIRCVfQDJ4cgIiIiIrJbLJxkFHsmFe9s+6foCSeHICIiIiKyWyycZFSoF8jT33oLOFSPiIiIiMhusXCSWeGt+zhxcggiIiIiIvvFwklGknTnfZzY40REREREZK9YOMlMf6vHSTIUAkLIHA0RERERERWHhZPM9HfeSosz6xERERER2SUWTjKSJEAv3VE4cbgeEREREZFdYuEkI3cnFYK83W8vYI8TEREREZFdcii7CdlKcJ3qaFWzGnD41gLey4mIiIiIyC6xx0lukgICUtHP7HEiIiIiIrJLLJzsgEHilORERERERPaMhZOM9pxPx8sbj0MH401wWTgREREREdkjFk4y0hYakJmvg95YOPEaJyIiIiIiu8TCyQ7o2eNERERERGTXWDjZAb1k7HFi4UREREREZI9YOMnJOJmeqceJQ/WIiIiIiOwRCyc7wFn1iIiIiIjsGwsnO8BrnIiIiIiI7BsLJxm5ahwQ6OkMoeA1TkRERERE9uyeCqeMjAx8+umniIyMxPXr1wEAhw8fxtWrVys0uMqufVB1zH6sCZxUvMaJiIiIiMieWV04HTt2DI0aNcK7776L999/HxkZGQCAH3/8EZGRkVYH8NFHHyEoKAiOjo7o2LEj9u/fX2r7jIwMTJ06FTVr1oRGo0GjRo2wefNmq1/XngjOqkdEREREZNesLpwiIiIwduxYnDt3Do6Ojqbl/fv3x86dO63a14YNGxAREYGoqCgcPnwYrVu3Rnh4OFJTU4ttr9Vq0adPHyQmJmLjxo04c+YMPvnkEwQEBFh7GHbFIPEaJyIiIiIie+Zg7QYHDhzA6tWrLZYHBAQgOTnZqn0tXrwYEyZMwLhx4wAAq1atwm+//Ya1a9fi1VdftWi/du1aXL9+HXv37oVKpQIABAUFWXsIdmPfP9fww6HLeE7rAC8AMHCoHhERERGRPbK6cNJoNMjKyrJYfvbsWXh7e5d7P1qtFocOHTIb3qdQKBAaGoq4uLhit/nll18QEhKCqVOn4ueff4a3tzdGjBiBWbNmQalUFrtNQUEBCgoKTM+Nset0Ouh08vbwZOdrkZqVD+2tWfUKtfkQMsdU2RjfY7nf68qK+bUt5te2mF/bYn5ti/m1LebXtuwpv9bEYHXhNHDgQLzxxhv47rvvAACSJOHSpUuYNWsWnnrqqXLvJz09HXq9Hr6+vmbLfX19cfr06WK3+eeff/DHH39g5MiR2Lx5M86fP48pU6ZAp9MhKiqq2G3mz5+PefPmWSzftm0bnJ2dyx2vLZy6ISEtXYL+1ttw4uhhXLzqLmtMlVV0dLTcIVRqzK9tMb+2xfzaFvNrW8yvbTG/tmUP+c3NzS13W6sLp0WLFmHIkCHw8fFBXl4eunfvjuTkZISEhODtt9+2dndWMRgM8PHxwccffwylUong4GBcvXoV7733XomFU2RkJCIiIkzPs7KyEBgYiLCwMLi5udk03rK4nkvH6biL0KcU9Ti1bNYUzdv3lzWmykan0yE6Ohp9+vQxDe+kisP82hbza1vMr20xv7bF/NoW82tb9pTf4kbSlcTqwsnd3R3R0dHYvXs3jh07huzsbLRr1w6hoaFW7cfLywtKpRIpKSlmy1NSUuDn51fsNjVr1oRKpTIblte0aVMkJydDq9VCrVZbbKPRaKDRaCyWq1Qq2d8opYMDJIUE/a3JIZSSAUr+ctqEPbzflRnza1vMr20xv7bF/NoW82tbzK9t2UN+rXl9qwsnoy5duqBLly73ujnUajWCg4MRExODQYMGASjqUYqJicG0adOK3aZz5874+uuvYTAYoFAUTQh49uxZ1KxZs9ii6WFhAGfVIyIiIiKyZ+UqnD788MNy7/CFF14od9uIiAiMGTMG7du3R4cOHbB06VLk5OSYZtkbPXo0AgICMH/+fADA5MmTsXz5csyYMQPTp0/HuXPn8M4771j1mvZEuvWo532ciIiIiIjsWrkKpyVLlpg9T0tLQ25uLjw8PAAU3ZTW2dkZPj4+VhUxw4YNQ1paGubMmYPk5GS0adMGW7ZsMU0YcenSJVPPEgAEBgZi69atePHFF9GqVSsEBARgxowZmDVrVrlf0544qZXwdXOElHbrbdBzOnIiIiIiIntUrsLpwoULpp+//vprrFixAmvWrEHjxo0BAGfOnMGECRPw/PPPWx3AtGnTShyaFxsba7EsJCQEf/31l9WvY48eCaqONgGuuLxaAeSCPU5ERERERHZKUXYTc7Nnz8ayZctMRRMANG7cGEuWLMHrr79eocFVFQaJ1zgREREREdkzqwunpKQkFBZaDinT6/UWM+RR+QjpVsefgUP1iIiIiIjskdWFU+/evfH888/j8OHDpmWHDh3C5MmTrZ6SvKo7dPEG3vj1FC7lsseJiIiIiMieWV04rV27Fn5+fmjfvr3pHkkdOnSAr68vPv30U1vEWGnlagtxJSMPeQbOqkdEREREZM+svo+Tt7c3Nm/ejLNnz+L06dMAgCZNmqBRo0YVHlxVoTe+DexxIiIiIiKyS/d8A9xGjRqxWKogeuMNcHmNExERERGRXbK6cHr22WdLXb927dp7Dqaq0nNWPSIiIiIiu2Z14XTjxg2z5zqdDidOnEBGRgZ69epVYYFVBRIkAEChaaieVsZoiIiIiIioJFYXTj/99JPFMoPBgMmTJ6N+/foVElRVo5NYOBERERER2TOrZ9UrdicKBSIiIrBkyZKK2F2VoVEp4OmshqRQFS0oLJA3ICIiIiIiKtY9Tw5xt4SEhGJvjEsleySoOtoEuCJ+vRLIAnuciIiIiIjslNWFU0REhNlzIQSSkpLw22+/YcyYMRUWWFVi4FA9IiIiIiK7ZnXhdOTIEbPnCoUC3t7eWLRoUZkz7lHxDByqR0RERERk16wunHbs2GGLOKqkY1cy8PORK/DNUCEEYI8TEREREZGdsnpyiF69eiEjI8NieVZWFqcjt9LN/EL8k56DjEL2OBERERER2TOrC6fY2FhotZY9I/n5+di1a1eFBFXV8D5ORERERET2rdxD9Y4dO2b6+eTJk0hOTjY91+v12LJlCwICAio2ukpOuvVYKN3qcWLhRERERERkl8pdOLVp0waSJEGSpGKH5Dk5OWHZsmUVGlxVYboBbiELJyIiIiIie1TuwunChQsQQqBevXrYv38/vL29TevUajV8fHygVCptEmRlVwhjjxOvcSIiIiIiskflLpzq1KkDADAYDDYLpsq5NVav0NTjVAAIAUhSydsQEREREdEDV67C6ZdffkG/fv2gUqnwyy+/lNp24MCBFRJYVeCgUMBZ7QBJYeypE4ChEFCqZI2LiIiIiIjMlatwGjRoEJKTk+Hj44NBgwaV2E6SJOj1+oqKrdLrULc62tZyxdb/JQDptxbqtSyciIiIiIjsTLkKpzuH53GoXsUzKO54GwoLAHU1+YIhIiIiIiILVt/HiSqekJQQ0q23glOSExERERHZnXL1OH344Yfl3uELL7xwz8FUNX//m4lf468iI1XCQKUGKMwr6nEiIiIiIiK7Uq7CacmSJeXamSRJLJyskJVXiNMpN6HKl4quayrMY48TEREREZEdKlfhdOHCBVvHQQ4aoAAsnIiIiIiI7NB9XeMkhIAQoqJiqdqU6qJHDtUjIiIiIrI791Q4rVmzBi1atICjoyMcHR3RokULfPrppxUdW9ViLJzY40REREREZHfKNVTvTnPmzMHixYsxffp0hISEAADi4uLw4osv4tKlS3jjjTcqPMjKSpLueOKgKXpkjxMRERERkd2xunBauXIlPvnkEwwfPty0bODAgWjVqhWmT5/OwuleKW7d9JY9TkREREREdsfqoXo6nQ7t27e3WB4cHIzCwsIKCaqqkAA4KBSQJEAYe5xYOBERERER2R2rC6dRo0Zh5cqVFss//vhjjBw5skKCqio61quBFSPaoH+ggZNDEBERERHZMauH6gFFk0Ns27YNjz76KABg3759uHTpEkaPHo2IiAhTu8WLF1dMlFUBe5yIiIiIiOyW1YXTiRMn0K5dOwBAQkICAMDLywteXl44ceKEqZ1kNvMBlYk9TkREREREdsvqwmnHjh22iKNKOpN8E5uPXcW1NAkDXDgdORERERGRvbqnoXpUMTJytTh2NRMOeRLgzsKJiIiIiMheWV045efnY9myZdixYwdSU1NhMBjM1h8+fLjCgqtSlLyPExERERGRvbK6cBo/fjy2bduGIUOGoEOHDryW6T7cmTvhwB4nIiIiIiJ7ZXXh9Ouvv2Lz5s3o3LmzLeKpkgTAHiciIiIiIjtm9X2cAgIC4OrqaotYqjalquiRPU5ERERERHbH6sJp0aJFmDVrFi5evGiLeKoUs1GOSt7HiYiIiIjIXlk9VK99+/bIz89HvXr14OzsDJVKZbb++vXrFRZcleLA+zgREREREdkrqwun4cOH4+rVq3jnnXfg6+vLySHuQ/s6nlg1oi02//777RvgsseJiIiIiMjuWF047d27F3FxcWjdurUt4qlSJEmCQiFBIQFw4OQQRERERET2yuprnJo0aYK8vLwKDeKjjz5CUFAQHB0d0bFjR+zfv79c23377beQJAmDBg2q0HhkoeDkEERERERE9srqwmnBggX4z3/+g9jYWFy7dg1ZWVlm/6y1YcMGREREICoqCocPH0br1q0RHh6O1NTUUrdLTEzESy+9hK5du1r9mvYiIS0bn+y+gMPpEgR7nIiIiIiI7JbVhVPfvn0RFxeH3r17w8fHB56envD09ISHhwc8PT2tDmDx4sWYMGECxo0bh2bNmmHVqlVwdnbG2rVrS9xGr9dj5MiRmDdvHurVq2f1a9qLGzlaHEi8gas50h1D9fLlDYqIiIiIiCxYfY3Tjh07Slx3/Phxq/al1Wpx6NAhREZGmpYpFAqEhoYiLi6uxO3eeOMN+Pj4YPz48di1a1epr1FQUICCgtu9OMZeMZ1OB51OZ1W8Fa2wsBDCICAA6CUVHAAYdHnQyxxXZWJ8j+V+rysr5te2mF/bYn5ti/m1LebXtphf27Kn/FoTg9WFU/fu3c2e37x5E9988w0+/fRTHDp0CNOmTSv3vtLT06HX6+Hr62u23NfXF6dPny52m927d2PNmjWIj48v12vMnz8f8+bNs1i+bds2ODs7lztWW/gnC0hLV8DPCTh07BQ6Abh5PRWxmzfLGldlFB0dLXcIlRrza1vMr20xv7bF/NoW82tbzK9t2UN+c3Nzy93W6sLJaOfOnVizZg1++OEH+Pv7Y/Dgwfjoo4/udXflcvPmTYwaNQqffPIJvLy8yrVNZGQkIiIiTM+zsrIQGBiIsLAwuLm52SrUcjl08QaO/vkPkJOGdh06AQmAm5MK/fv3lzWuykSn0yE6Ohp9+vSxuOcY3T/m17aYX9tifm2L+bUt5te2mF/bsqf8WjNHg1WFU3JyMtatW4c1a9YgKysLQ4cORUFBATZt2oRmzZpZHaiXlxeUSiVSUlLMlqekpMDPz8+ifUJCAhITEzFgwADTMoPBUHQgDg44c+YM6tevb7aNRqOBRqOx2JdKpZL9jVKpHCApiu6D5eDoAgCQCgtkj6sysof3uzJjfm2L+bUt5te2mF/bYn5ti/m1LXvIrzWvX+7JIQYMGIDGjRvj2LFjWLp0Kf79918sW7bsngI0UqvVCA4ORkxMjGmZwWBATEwMQkJCLNo3adIEx48fR3x8vOnfwIED0bNnT8THxyMwMPC+4pGTUDkV/aArf3chERERERE9GOXucfr999/xwgsvYPLkyWjYsGGFBRAREYExY8agffv26NChA5YuXYqcnByMGzcOADB69GgEBARg/vz5cHR0RIsWLcy29/DwAACL5Q8dB8eiR86qR0RERERkd8rd47R7927cvHkTwcHB6NixI5YvX4709PT7DmDYsGF4//33MWfOHLRp0wbx8fHYsmWLacKIS5cuISkp6b5fxx61ruWBD4a2Rr9AA2DqccoDhJA3MCIiIiIiMlPuHqdHH30Ujz76KJYuXYoNGzZg7dq1iIiIgMFgQHR0NAIDA+Hq6npPQUybNq3E2fhiY2NL3XbdunX39Jr2wEGpgJNaCZUCgMOtwgkC0Gtv39eJiIiIiIhkZ/UNcKtVq4Znn30Wu3fvxvHjx/Gf//wHCxYsgI+PDwYOHGiLGKsGlePtn3V58sVBREREREQWrC6c7tS4cWMsXLgQV65cwTfffFNRMVUZl67l4vO4izhyTQIUKkC69XbwOiciIiIiIrtyz/dxupNSqcSgQYMwaNCgithdlZGeU4A9CdcgZUuAJBUN19PlcGY9IiIiIiI7c189TlTBTBNEsMeJiIiIiMiesHCyJ8bCqZDXOBERERER2RMWTvbAOPu48V5O7HEiIiIiIrIrLJxkJN29wDizHnuciIiIiIjsCgsne+LAa5yIiIiIiOwRCyd7Ypocgj1ORERERET2hIWTjJr7u2Ph4JYIr2UoWsDJIYiIiIiI7BILJxmpHRTwcFbB0Xg3LU4OQURERERkl1g42RP2OBERERER2SUWTjK6ciMX3x64gqPXbs2vxx4nIiIiIiK75FB2E7KV9Gwt/jiTCty8VTipnIse2eNERERERGRX2ONkB4z3vzXdx4mz6hERERER2RUWTvbEgdORExERERHZIxZOMpLuXmDscSrkNU5ERERERPaEhZM9ceBQPSIiIiIie8TCyZ6YJodgjxMRERERkT1h4WRPODkEEREREZFdYuEko8Z+rnjrieboE2AoWmDscdLlyhcUERERERFZYOEkI0eVEj6uGriobi1QVyt61LJwIiIiIiKyJyyc7ImpcMqWNw4iIiIiIjLDwklGyZn5+PHIVZy4cWticrVL0SMLJyIiIiIiu+IgdwBVWdrNAmz5OwWGrLsLpxz5giIiIiIiIgvscbInxqF6ei1QqJU3FiIiIiIiMmHhZE+MPU4Ah+sREREREdkRFk72QNx6VDoADrfu5cTCiYiIiIjIbrBwsjemmfV4nRMRERERkb1g4WRvWDgREREREdkdFk72Ru1a9FhwU944iIiIiIjIhIWTjBr6umDOY03RO8BweyF7nIiIiIiI7A4LJxk5qpSo5ekEd/UdC02FEyeHICIiIiKyFyyc7I3GeBNcFk5ERERERPaChZOMUrPy8euxJJy6Id1eaLyXE4fqERERERHZDQe5A6jKUm8W4JdjSdBn3lk43RqqV8AeJyIiIiIie8EeJ3vDHiciIiIiIrvDwsnemAonTkdORERERGQvWDjJSLo1Qk/cuZDTkRMRERER2R0WTvZGw6F6RERERET2hoWTveHkEEREREREdoeFk71R8z5ORERERET2hoWTjOp6VcOs8MboWdNwe6HGteixIEueoIiIiIiIyAILJxk5qx1Q37saajjesdDRvegxP1OWmIiIiIiIyBILJ3vj6FH0mJ8JCFFqUyIiIiIiejDsonD66KOPEBQUBEdHR3Ts2BH79+8vse0nn3yCrl27wtPTE56enggNDS21vT27ll2A6JOpOJsp3V7o5FH0aCjkzHpERERERHZC9sJpw4YNiIiIQFRUFA4fPozWrVsjPDwcqampxbaPjY3F8OHDsWPHDsTFxSEwMBBhYWG4evXqA478/qXeLMD3h6/g2LU7CieVM6BwKPo5P0OWuIiIiIiIyJzshdPixYsxYcIEjBs3Ds2aNcOqVavg7OyMtWvXFtt+/fr1mDJlCtq0aYMmTZrg008/hcFgQExMzAOO3EYk6fZwvbwMOSMhIiIiIqJbHOR8ca1Wi0OHDiEyMtK0TKFQIDQ0FHFxceXaR25uLnQ6HapXr17s+oKCAhQUFJieZ2UVzVan0+mg0+nuI/r7V1hYCGEQELfiMXJwdIeUm47CnGsQMsf4sDPmVe73urJifm2L+bUt5te2mF/bYn5ti/m1LXvKrzUxSELINwPBv//+i4CAAOzduxchISGm5a+88gr+/PNP7Nu3r8x9TJkyBVu3bsXff/8NR0dHi/Vz587FvHnzLJZ//fXXcHZ2vr8DuE9Xc4DfLivgqQaernd7SvJuZ+bCM/cf7Ks7A8kewTJGSERERERUeeXm5mLEiBHIzMyEm5tbqW1l7XG6XwsWLMC3336L2NjYYosmAIiMjERERITpeVZWlum6qLKSY2unk29i/7az0GWloU+fPlCpVAAAZeY64J9/ENy8AUTr/rLG+LDT6XSIjo42yy9VHObXtphf22J+bYv5tS3m17aYX9uyp/waR6OVh6yFk5eXF5RKJVJSUsyWp6SkwM/Pr9Rt33//fSxYsADbt29Hq1atSmyn0Wig0WgslqtUKtnfKAcHB0gKyTIeZ8+i9bpsgL+sFcIe3u/KjPm1LebXtphf22J+bYv5tS3m17bsIb/WvL6sk0Oo1WoEBwebTexgnOjhzqF7d1u4cCHefPNNbNmyBe3bt38QoT5Ypns5ZcgZBRERERER3SL7UL2IiAiMGTMG7du3R4cOHbB06VLk5ORg3LhxAIDRo0cjICAA8+fPBwC8++67mDNnDr7++msEBQUhOTkZAODi4gIXFxfZjuNeBFZ3xou9G+KvvcnmKxzdix45qx4RERERkV2QvXAaNmwY0tLSMGfOHCQnJ6NNmzbYsmULfH19AQCXLl2CQnG7Y2zlypXQarUYMmSI2X6ioqIwd+7cBxn6fXPROKBpTVdccLprhfEmuPmZDzokIiIiIiIqhuyFEwBMmzYN06ZNK3ZdbGys2fPExETbByQ3DtUjIiIiIrIrdlE4VVUZuVocSryGhLsn8+BQPSIiIiIiu8LCSUYpWQX4at8laDPumqODQ/WIiIiIiOyKrLPqUQmciqYjR951eeMgIiIiIiIALJzsk7NX0WPuNcBgkDcWIiIiIiJi4WQPxN0LqnkXPRoKOUEEEREREZEdYOFkjxzUt2fWy06VNRQiIiIiImLhJCtJKmWlsdcpJ+2BxEJERERERCVj4WSvXHyKHnPY40REREREJDcWTjLy93DClO710MW3mAkgqt2aICIn/cEGRUREREREFlg4ychF44A2gR4IqFbMymq3epx4jRMRERERkexYONkr01A9XuNERERERCQ3B7kDqMqy8nU4evE6Em8Ws9I0VI+FExERERGR3NjjJKPUrHys3ZuIfanFvA3V2ONERERERGQvWDjZKxde40REREREZC9YONkBUdxC432cslMBUWwLIiIiIiJ6QFg42Ss3/6LHwjwg97q8sRARERERVXEsnOyVgwZw8Sv6OfOSvLEQEREREVVxLJzsmXutosfMK/LGQURERERUxbFwsmcegUWPGZfljYOIiIiIqIpj4SQjXzdHPNclCCE+huIbsMeJiIiIiMgusHCSkaujCh2CqqOOawkN3GsXPfIaJyIiIiIiWbFwsmfscSIiIiIisgsOcgdQlWUXFOLvKxm4nF1CA17jRERERERkF9jjJKOUrHys2vkPdqeU8Da43yqcctOBgpsPLjAiIiIiIjLDwsmeOXkA1XyKfk4/K2soRERERERVGQsne+fduOgxjYUTEREREZFcWDjZASFKWenVqOgx/cwDiYWIiIiIiCyxcLJ3ph4nFk5ERERERHJh4SQjqTyNjD1OLJyIiIiIiGTDwsneGXucblwAdPnyxkJEREREVEWxcJKRl6sGox+tg44+hpIbudYEnGsAwgCknHhwwRERERERkQkLJxm5OarQpUEN1HcrpZEkAQHti36+cuCBxEVEREREROZYOD0Maj1S9HjloLxxEBERERFVUQ5yB1CV5WoLcebfLPybU0bDWuxxIiIiIiKSE3ucZJSSVYAPd5xHbFIZb0NAOwASkHERuJnyQGIjIiIiIqLbWDg9DBzdgZqtin4+v13eWIiIiIiIqiAWTnZAlKdRw/Cix3NbbRkKEREREREVg4WTjMp1A1yjRrcKp4QdgF5ni3CIiIiIiKgELJweFv7tgGreQEEWcD5G7miIiIiIiKoUFk4ykqzpclIogFbDin4+/LlN4iEiIiIiouKxcHqYtBtd9Hh2K5B5Rd5YiIiIiIiqEBZOMvKspsaw9rUQ7FWu6SEA78ZAUFdA6IE/F9o2OCIiIiIiMmHhJCM3RxV6N/FBE49yFk4A0Ov1oscjXwEpf9smMCIiIiIiMsPC6WFT+1GgyeNFvU4/PAfo8uSOiIiIiIio0mPhJKN8nR7nUrKRYm3t8/jSohn2Uk8CG0YBunxbhEdERERERLfYReH00UcfISgoCI6OjujYsSP2799favvvv/8eTZo0gaOjI1q2bInNmzc/oEgrVmpWAd6LPovoq1a+DS7ewNAvAAcn4Hw0sKYP8G+8TWIkIiIiIiI7KJw2bNiAiIgIREVF4fDhw2jdujXCw8ORmppabPu9e/di+PDhGD9+PI4cOYJBgwZh0KBBOHHixAOOXGZ1OgH/txFwrgEkHwM+7g58PQw4vhG4mSJ3dERERERElYokhLBiZoKK17FjRzzyyCNYvnw5AMBgMCAwMBDTp0/Hq6++atF+2LBhyMnJwa+//mpa9uijj6JNmzZYtWpVma+XlZUFd3d3ZGZmws3NreIO5B5cupaLqF+OIzM9FbMGPwoHByW8XDSoU6MaAKBQb8DRKxklbu/prEY9TRYQHQUc/85sndbJB1rXQGhdAlCodoeDszuqV/cq6qVSKHExQwshKSAkB0ChhJCUphtLOakcUNPd0bSvxGu50JdwmjiqlAjwcDY9v3g9B4WGO9vevlmVWqlEYHWn28d/PQ86vaHY/aqUCtSufnu/l2/kQVuoL7atUiEh6FbOAOBKRh4KdEVt9QYDzpw5jcaNm0CpUECSJNTzut3238w85GmL3y8gob737bZJmfnI1RaW0Bao510N0q3jTblZgOx8XYltg2pUg1JR1Db1ZgFultK2do1qUN1qm55dgMy8ktsGVneGWln095BruVpk5GhLbFvL0wkaByUA4EauFtdLaevv6QSnW20z83RIzy4AYJlfAPBzd0I19a22+Tqk3ywocb9+7o6opnYAANwsKERqVsnDTn1cNXB1VAEAcrSFSM4sua2XqwbuprZ6JGeWPB62hosGHk5FbfMK9fj3Rsltq1dTw9NZDQAoKNTjSiltPaqpUeNWW63egMvXc0ts6+6kgpeLBgCgMwhcupYDoPj8ujqq4OOqubVeIPFW2+JU0zjAz63od1lA4J+0kts6q81/7xPScgAU/3vvpFbC3/327/KFazkwGIpvq1EpUcvjdtvEaznQl9BW7aBEoOednxG5Nv2MKC6//Iy47X4/I4rLL8DPCKP7/YwoKb/8jChyv58RuQW6YvPLz4jb7uczIiUrD9cvnkbwsFlQObmWuN2DYE1tIGvhpNVq4ezsjI0bN2LQoEGm5WPGjEFGRgZ+/vlni21q166NiIgIzJw507QsKioKmzZtwtGjRy3aFxQUoKDg9odyVlYWAgMDkZ6eLnvhdDUjD3N/OYm09DR4e3lDUkjo0sALox+tDQDI1RZi5nfHStz+kSBPTOhSFwCgTz2DmA0fomXeAdTSXYCihA8zIiIiIiJ7kDvlKFSeAbLGkJWVBS8vr3IVTg4PKKZipaenQ6/Xw9fX12y5r68vTp8+Xew2ycnJxbZPTk4utv38+fMxb948i+Xbtm2Ds7NzMVs8OEIANXQSFE4SkJMGALhyLgWbrxcNO9QZAOlmyaMpkxJSsDnrFADAIID/OQzAD64D4GTIha8hCd76NFQ3XIOzyEUNZR5qaXKhMOggwYCUHAMUMEAJPSRhgBIGGP9ypFYAbkV/BIMEgev5wJ1/z5Hu+NlBIeCuNh4QcENbFMvttrefKCXAw9gWAhlaCSX8UQkKCfBQ316ZqZWgL6GtBMBTc3tlllZCYTnb3tRJ0BX/xyoAQHUr2npqhCk32ToJ2tLaqoWxgw85hRIKSvpjFYrycOsPRcgtlJBfSlt3tYCynG3dVAIOt06vvEIJeeVsm68v2ndJXFUCqlttC/RFx1cSF5WAupxtqzkIaIr+WAWtoSjH5WmrMxS9dyVxdhBwvNW20ABkldLWSQk4ORSdE3pRdF6WxFFZtG9r2xoEkFFKW42y6PiAos+QG6W0VSuKcmx0vaDktipF0XtXnrYOiqJzwuhGgVTin2ocJMBNXb62SqnoHDbiZ0TRz/yMKF9bfkYU4WdEEX5G3GavnxGeaoH9u3ZD5yBvj1Nubsm9vXeTtXB6ECIjIxEREWF6buxxCgsLk73HCQDCdDpER0ejT58+UKlUFuufsGJfj1vR1seKtu42amtN9u+1ra6M/D6IGCpz27LyCwDeVuzbmrZeVrStYUXb6la09bRRW49bj+XJr739zj1MbcuTX3uK92FrW578AvyMuJe2Hih/fvkZcW9ty5tfe4n3YWtb3vw+CFlZWeVuK2vh5OXlBaVSiZQU88kMUlJS4OfnV+w2fn5+VrXXaDTQaDQWy1Uqlexv1J3sLZ7Khvm1LebXtphf22J+bYv5tS3m17aYX9uyh/xa8/qyzqqnVqsRHByMmJgY0zKDwYCYmBiEhIQUu01ISIhZewCIjo4usT0REREREdH9kn2oXkREBMaMGYP27dujQ4cOWLp0KXJycjBu3DgAwOjRoxEQEID58+cDAGbMmIHu3btj0aJFeOyxx/Dtt9/i4MGD+Pjjj+U8DCIiIiIiqsRkL5yGDRuGtLQ0zJkzB8nJyWjTpg22bNlimgDi0qVLUNwxDWSnTp3w9ddf4/XXX8d///tfNGzYEJs2bUKLFi3kOgQiIiIiIqrkZC+cAGDatGmYNm1asetiY2Mtlj399NN4+umnbRwVERERERFREVmvcSIiIiIiInoYsHAiIiIiIiIqAwsnIiIiIiKiMrBwIiIiIiIiKgMLJyIiIiIiojKwcCIiIiIiIiqDXUxH/iAJIQAAWVlZMkdSRKfTITc3F1lZWVCpVHKHU+kwv7bF/NoW82tbzK9tMb+2xfzaFvNrW/aUX2NNYKwRSlPlCqebN28CAAIDA2WOhIiIiIiI7MHNmzfh7u5eahtJlKe8qkQMBgP+/fdfuLq6QpIkucNBVlYWAgMDcfnyZbi5uckdTqXD/NoW82tbzK9tMb+2xfzaFvNrW8yvbdlTfoUQuHnzJvz9/aFQlH4VU5XrcVIoFKhVq5bcYVhwc3OT/cSpzJhf22J+bYv5tS3m17aYX9tifm2L+bUte8lvWT1NRpwcgoiIiIiIqAwsnIiIiIiIiMrAwklmGo0GUVFR0Gg0codSKTG/tsX82hbza1vMr20xv7bF/NoW82tbD2t+q9zkEERERERERNZijxMREREREVEZWDgRERERERGVgYUTERERERFRGVg4ERERERERlYGFk4w++ugjBAUFwdHRER07dsT+/fvlDsnuzZ8/H4888ghcXV3h4+ODQYMG4cyZM2ZtevToAUmSzP5NmjTJrM2lS5fw2GOPwdnZGT4+Pnj55ZdRWFj4IA/Fbs2dO9cif02aNDGtz8/Px9SpU1GjRg24uLjgqaeeQkpKitk+mN+SBQUFWeRXkiRMnToVAM9fa+3cuRMDBgyAv78/JEnCpk2bzNYLITBnzhzUrFkTTk5OCA0Nxblz58zaXL9+HSNHjoSbmxs8PDwwfvx4ZGdnm7U5duwYunbtCkdHRwQGBmLhwoW2PjS7UFp+dTodZs2ahZYtW6JatWrw9/fH6NGj8e+//5rto7hzfsGCBWZtmN/iz9+xY8da5K5v375mbXj+lqys/Bb3WSxJEt577z1TG56/JSvPd7KK+s4QGxuLdu3aQaPRoEGDBli3bp2tD694gmTx7bffCrVaLdauXSv+/vtvMWHCBOHh4SFSUlLkDs2uhYeHi88++0ycOHFCxMfHi/79+4vatWuL7OxsU5vu3buLCRMmiKSkJNO/zMxM0/rCwkLRokULERoaKo4cOSI2b94svLy8RGRkpByHZHeioqJE8+bNzfKXlpZmWj9p0iQRGBgoYmJixMGDB8Wjjz4qOnXqZFrP/JYuNTXVLLfR0dECgNixY4cQguevtTZv3ixee+018eOPPwoA4qeffjJbv2DBAuHu7i42bdokjh49KgYOHCjq1q0r8vLyTG369u0rWrduLf766y+xa9cu0aBBAzF8+HDT+szMTOHr6ytGjhwpTpw4Ib755hvh5OQkVq9e/aAOUzal5TcjI0OEhoaKDRs2iNOnT4u4uDjRoUMHERwcbLaPOnXqiDfeeMPsnL7zM5v5Lfn8HTNmjOjbt69Z7q5fv27WhudvycrK7515TUpKEmvXrhWSJImEhARTG56/JSvPd7KK+M7wzz//CGdnZxERESFOnjwpli1bJpRKpdiyZcsDPV4hhGDhJJMOHTqIqVOnmp7r9Xrh7+8v5s+fL2NUD5/U1FQBQPz555+mZd27dxczZswocZvNmzcLhUIhkpOTTctWrlwp3NzcREFBgS3DfShERUWJ1q1bF7suIyNDqFQq8f3335uWnTp1SgAQcXFxQgjm11ozZswQ9evXFwaDQQjB8/d+3P3FyGAwCD8/P/Hee++ZlmVkZAiNRiO++eYbIYQQJ0+eFADEgQMHTG1+//13IUmSuHr1qhBCiBUrVghPT0+z/M6aNUs0btzYxkdkX4r74nm3/fv3CwDi4sWLpmV16tQRS5YsKXEb5rdISYXTE088UeI2PH/Lrzzn7xNPPCF69epltoznb/nd/Z2sor4zvPLKK6J58+ZmrzVs2DARHh5u60OywKF6MtBqtTh06BBCQ0NNyxQKBUJDQxEXFydjZA+fzMxMAED16tXNlq9fvx5eXl5o0aIFIiMjkZuba1oXFxeHli1bwtfX17QsPDwcWVlZ+Pvvvx9M4Hbu3Llz8Pf3R7169TBy5EhcunQJAHDo0CHodDqzc7dJkyaoXbu26dxlfstPq9Xiq6++wrPPPgtJkkzLef5WjAsXLiA5OdnsfHV3d0fHjh3NzlcPDw+0b9/e1CY0NBQKhQL79u0ztenWrRvUarWpTXh4OM6cOYMbN248oKN5OGRmZkKSJHh4eJgtX7BgAWrUqIG2bdvivffeMxuGw/yWLjY2Fj4+PmjcuDEmT56Ma9eumdbx/K04KSkp+O233zB+/HiLdTx/y+fu72QV9Z0hLi7ObB/GNnJ8Z3Z44K9ISE9Ph16vNztJAMDX1xenT5+WKaqHj8FgwMyZM9G5c2e0aNHCtHzEiBGoU6cO/P39cezYMcyaNQtnzpzBjz/+CABITk4uNvfGdVVdx44dsW7dOjRu3BhJSUmYN28eunbtihMnTiA5ORlqtdriS5Gvr68pd8xv+W3atAkZGRkYO3asaRnP34pjzEdx+brzfPXx8TFb7+DggOrVq5u1qVu3rsU+jOs8PT1tEv/DJj8/H7NmzcLw4cPh5uZmWv7CCy+gXbt2qF69Ovbu3YvIyEgkJSVh8eLFAJjf0vTt2xeDBw9G3bp1kZCQgP/+97/o168f4uLioFQqef5WoM8//xyurq4YPHiw2XKev+VT3HeyivrOUFKbrKws5OXlwcnJyRaHVCwWTvTQmjp1Kk6cOIHdu3ebLZ84caLp55YtW6JmzZro3bs3EhISUL9+/Qcd5kOnX79+pp9btWqFjh07ok6dOvjuu+8e6IdTVbBmzRr069cP/v7+pmU8f+lhpNPpMHToUAghsHLlSrN1ERERpp9btWoFtVqN559/HvPnz4dGo3nQoT5UnnnmGdPPLVu2RKtWrVC/fn3Exsaid+/eMkZW+axduxYjR46Eo6Oj2XKev+VT0neyyoZD9WTg5eUFpVJpMatISkoK/Pz8ZIrq4TJt2jT8+uuv2LFjB2rVqlVq244dOwIAzp8/DwDw8/MrNvfGdWTOw8MDjRo1wvnz5+Hn5wetVouMjAyzNneeu8xv+Vy8eBHbt2/Hc889V2o7nr/3zpiP0j5r/fz8kJqaara+sLAQ169f5zldTsai6eLFi4iOjjbrbSpOx44dUVhYiMTERADMrzXq1asHLy8vs88Dnr/3b9euXThz5kyZn8cAz9/ilPSdrKK+M5TUxs3N7YH/QZeFkwzUajWCg4MRExNjWmYwGBATE4OQkBAZI7N/QghMmzYNP/30E/744w+L7vHixMfHAwBq1qwJAAgJCcHx48fN/rMx/mffrFkzm8T9MMvOzkZCQgJq1qyJ4OBgqFQqs3P3zJkzuHTpkuncZX7L57PPPoOPjw8ee+yxUtvx/L13devWhZ+fn9n5mpWVhX379pmdrxkZGTh06JCpzR9//AGDwWAqWkNCQrBz507odDpTm+joaDRu3LjKDMMpibFoOnfuHLZv344aNWqUuU18fDwUCoVpiBnzW35XrlzBtWvXzD4PeP7evzVr1iA4OBitW7cusy3P39vK+k5WUd8ZQkJCzPZhbCPLd+YHPh0FCSGKpiPXaDRi3bp14uTJk2LixInCw8PDbFYRsjR58mTh7u4uYmNjzaYGzc3NFUIIcf78efHGG2+IgwcPigsXLoiff/5Z1KtXT3Tr1s20D+PUl2FhYSI+Pl5s2bJFeHt7V9npnO/2n//8R8TGxooLFy6IPXv2iNDQUOHl5SVSU1OFEEVTi9auXVv88ccf4uDBgyIkJESEhISYtmd+y6bX60Xt2rXFrFmzzJbz/LXezZs3xZEjR8SRI0cEALF48WJx5MgR06xuCxYsEB4eHuLnn38Wx44dE0888USx05G3bdtW7Nu3T+zevVs0bNjQbDrnjIwM4evrK0aNGiVOnDghvv32W+Hs7FwlphsuLb9arVYMHDhQ1KpVS8THx5t9Jhtnw9q7d69YsmSJiI+PFwkJCeKrr74S3t7eYvTo0abXYH6Lz+/NmzfFSy+9JOLi4sSFCxfE9u3bRbt27UTDhg1Ffn6+aR88f0tW1ueDEEXTiTs7O4uVK1dabM/zt3RlfScTomK+MxinI3/55ZfFqVOnxEcffcTpyKuiZcuWidq1awu1Wi06dOgg/vrrL7lDsnsAiv332WefCSGEuHTpkujWrZuoXr260Gg0okGDBuLll182uw+OEEIkJiaKfv36CScnJ+Hl5SX+85//CJ1OJ8MR2Z9hw4aJmjVrCrVaLQICAsSwYcPE+fPnTevz8vLElClThKenp3B2dhZPPvmkSEpKMtsH81u6rVu3CgDizJkzZst5/lpvx44dxX4mjBkzRghRNCX57Nmzha+vr9BoNKJ3794Web927ZoYPny4cHFxEW5ubmLcuHHi5s2bZm2OHj0qunTpIjQajQgICBALFix4UIcoq9Lye+HChRI/k433JTt06JDo2LGjcHd3F46OjqJp06binXfeMfviLwTzW1x+c3NzRVhYmPD29hYqlUrUqVNHTJgwweIPrDx/S1bW54MQQqxevVo4OTmJjIwMi+15/paurO9kQlTcd4YdO3aINm3aCLVaLerVq2f2Gg+SJIQQNurMIiIiIiIiqhR4jRMREREREVEZWDgRERERERGVgYUTERERERFRGVg4ERERERERlYGFExERERERURlYOBEREREREZWBhRMREREREVEZWDgRERERERGVgYUTERHZtbFjx2LQoEFyh0FERFWcg9wBEBFR1SVJUqnro6Ki8MEHH0AI8YAiKt7YsWORkZGBTZs2yRoHERHJh4UTERHJJikpyfTzhg0bMGfOHJw5c8a0zMXFBS4uLnKERkREZIZD9YiISDZ+fn6mf+7u7pAkyWyZi4uLxVC9Hj16YPr06Zg5cyY8PT3h6+uLTz75BDk5ORg3bhxcXV3RoEED/P7772avdeLECfTr1w8uLi7w9fXFqFGjkJ6eblq/ceNGtGzZEk5OTqhRowZCQ0ORk5ODuXPn4vPPP8fPP/8MSZIgSRJiY2MBAJcvX8bQoUPh4eGB6tWr44knnkBiYqJpn8bY582bB29vb7i5uWHSpEnQarW2TCsREdkACyciInrofP755/Dy8sL+/fsxffp0TJ48GU8//TQ6deqEw4cPIywsDKNGjUJubi4AICMjA7169ULbtm1x8OBBbNmyBSkpKRg6dCiAop6v4cOH49lnn8WpU6cQGxuLwYMHQwiBl156CUOHDkXfvn2RlJSEpKQkdOrUCTqdDuHh4XB1dcWuXbuwZ88euLi4oG/fvmaFUUxMjGmf33zzDX788UfMmzdPlrwREdG9k4TcA8eJiIgArFu3DjNnzkRGRobZ8ruvL+rRowf0ej127doFANDr9XB3d8fgwYPxxRdfAACSk5NRs2ZNxMXF4dFHH8Vbb72FXbt2YevWrab9XrlyBYGBgThz5gyys7MRHByMxMRE1KlTxyK24q5x+uqrr/DWW2/h1KlTpmu1tFotPDw8sGnTJoSFhWHs2LH43//+h8uXL8PZ2RkAsGrVKrz88svIzMyEQsG/XxIRPSx4jRMRET10WrVqZfpZqVSiRo0aaNmypWmZr68vACA1NRUAcPToUezYsaPY66USEhIQFhaG3r17o2XLlggPD0dYWBiGDBkCT0/PEmM4evQozp8/D1dXV7Pl+fn5SEhIMD1v3bq1qWgCgJCQEGRnZ+Py5cvFFmlERGSfWDgREdFDR6VSmT2XJMlsmbEHyGAwAACys7MxYMAAvPvuuxb7qlmzJpRKJaKjo7F3715s27YNy5Ytw2uvvYZ9+/ahbt26xcZg7KVav369xTpvb+97PjYiIrJPLJyIiKjSa9euHX744QcEBQXBwaH4//okSULnzp3RuXNnzJkzB3Xq1MFPP/2EiIgIqNVq6PV6i31u2LABPj4+cHNzK/G1jx49iry8PDg5OQEA/vrrL7i4uCAwMLDiDpCIiGyOg6uJiKjSmzp1Kq5fv47hw4fjwIEDSEhIwNatWzFu3Djo9Xrs27cP77zzDg4ePIhLly7hxx9/RFpaGpo2bQoACAoKwrFjx3DmzBmkp6dDp9Nh5MiR8PLywhNPPIFdu3bhwoULiI2NxQsvvIArV66YXlur1WL8+PE4efIkNm/ejKioKEybNo3XNxERPWT4qU1ERJWev78/9uzZA71ej7CwMLRs2RIzZ86Eh4cHFAoF3NzcsHPnTvTv3x+NGjXC66+/jkWLFqFfv34AgAkTJqBx48Zo3749vL29sWfPHjg7O2Pnzp2oXbs2Bg8ejKZNm2L8+PHIz88364Hq3bs3GjZsiG7dumHYsGEYOHAg5s6dK1MmiIjoXnFWPSIiIhspbjY+IiJ6OLHHiYiIiIiIqAwsnIiIiIiIiMrAoXpERERERERlYI8TERERERFRGVg4ERERERERlYGFExERERERURlYOBEREREREZWBhRMREREREVEZWDgRERERERGVgYUTERERERFRGVg4ERERERERleH/AbIunmSiq5HyAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- Single filter response (impulse input) ---\n",
    "\n",
    "with torch.no_grad():\n",
    "    out_tuple = layer1.forward(impulse)\n",
    "    # If StateLeaky returns (output, state), unpack the first element\n",
    "    if isinstance(out_tuple, tuple):\n",
    "        output_single = out_tuple[0]\n",
    "    else:\n",
    "        output_single = out_tuple\n",
    "\n",
    "# Plot input vs. output\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(impulse[:, 0, 0].cpu(), label=\"Input (impulse)\", linestyle=\"--\", alpha=0.7)\n",
    "plt.plot(output_single[:, 0, 0].cpu(), label=\"Output (after 1 filter)\")\n",
    "plt.title(\"Single Leaky Filter Response to Impulse Input\")\n",
    "plt.xlabel(\"Timestep\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8aa53139",
   "metadata": {},
   "source": [
    "### Double Filter Response (Impulse Input)\n",
    "\n",
    "Next, we cascade two identical leaky filters — `layer1` followed by `layer2`.  \n",
    "This setup acts as a **second-order low-pass filter**, producing an even smoother and slower-decaying membrane response.\n",
    "\n",
    "Conceptually:\n",
    "- The first layer integrates the input spike into a decaying potential.\n",
    "- The second layer integrates that already-smoothed signal again, yielding a “doubly smoothed” curve.\n",
    "\n",
    "This demonstrates how stacking parallelized leaky filters naturally models **synaptic delay** or **multi-timescale membrane dynamics**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ec50b7da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- Double filter response (impulse input) ---\n",
    "\n",
    "with torch.no_grad():\n",
    "    # First filter\n",
    "    out1 = layer1(impulse)\n",
    "    # Second filter processes the output of the first\n",
    "    out2 = layer2(out1)\n",
    "\n",
    "# Plot the progression\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(impulse[:, 0, 0].cpu(), \"--\", alpha=0.7, label=\"Input (impulse)\")\n",
    "plt.plot(out1[:, 0, 0].cpu(), label=\"After 1 filter\")\n",
    "plt.plot(out2[:, 0, 0].cpu(), label=\"After 2 filters\")\n",
    "plt.title(\"Cascaded Leaky Filters – Impulse Response\")\n",
    "plt.xlabel(\"Timestep\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5665646a",
   "metadata": {},
   "source": [
    "### Filtering a Noisy Input Signal\n",
    "\n",
    "To illustrate the smoothing behavior more intuitively, we’ll pass a **noisy signal** through one and then two filters.  \n",
    "This demonstrates how cascading leaky filters can suppress high-frequency noise — similar to how biological synapses and membranes smooth fluctuating neural inputs.\n",
    "\n",
    "- The **raw signal** is random Gaussian noise (representing EEG-like input).  \n",
    "- The **one-filter output** shows mild smoothing.  \n",
    "- The **two-filter output** appears more stable and delayed — capturing the effect of a slower, smoother membrane potential.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3f69fcbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- Filtering a noisy signal ---\n",
    "\n",
    "with torch.no_grad():\n",
    "    out1_noisy = layer1(noisy)\n",
    "    out2_noisy = layer2(out1_noisy)\n",
    "\n",
    "# Plot a short segment for clarity\n",
    "segment = slice(0, 400)\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(noisy[segment, 0, 0].cpu(), label=\"Input (noisy)\", alpha=0.6)\n",
    "plt.plot(out1_noisy[segment, 0, 0].cpu(), label=\"After 1 filter\")\n",
    "plt.plot(out2_noisy[segment, 0, 0].cpu(), label=\"After 2 filters\")\n",
    "plt.title(\"Effect of Cascaded Leaky Filters on a Noisy Signal\")\n",
    "plt.xlabel(\"Timestep\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37f5b513",
   "metadata": {},
   "source": [
    "### Discussion and Interpretation\n",
    "\n",
    "In this notebook, we demonstrated how a reset-less **leaky neuron** implemented via a **causal 1D convolution** behaves as a simple **state-space-style low-pass filter**.  \n",
    "Key takeaways:\n",
    "\n",
    "- **Single filter:** acts as a *first-order leaky integrator*, producing an exponential decay when driven by an impulse.  \n",
    "  This mirrors the basic membrane charging and discharging behavior of biological neurons.\n",
    "\n",
    "- **Two filters in cascade:** form a *second-order smooth filter*.  \n",
    "  The second stage integrates the already-smoothed signal, delaying and further smoothing the response.  \n",
    "  This is analogous to **synaptic delay** or layered membrane filtering in biophysical systems.\n",
    "\n",
    "- **Noisy input case:** cascading filters progressively suppresses high-frequency fluctuations, resulting in a stable, slowly varying output suitable for EEG-based control tasks.\n",
    "\n",
    "Overall, the parallelized `StateLeaky` formulation allows full-sequence computation using convolution instead of recurrent iteration—efficiently mapping the leaky-integrator dynamics into the same computational style as **state-space models (SSMs)**.  \n",
    "This structure can therefore serve as a lightweight temporal filter for continuous-time neural signals, offering both biological plausibility and GPU-friendly parallelization.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
